Results 51 to 60 of about 88,453 (147)

Exploring the exact solutions to the nonlinear systems with neural networks method

Scientific Reports
This paper explores the use of Riccati subequation neural networks to solve nonlinear partial differential equations modeling complex biological processes like cancer, brain function, and wound healing.
Jan Muhammad, Ali H. Tedjani, Ejaz Hussain, Usman Younas   +3 more
doaj   +1 more source

Global solvability of a mixed problem for a singular semilinear hyperbolic 1d system

Математичні Студії
Using the method of characteristics and the Banach fixed point theorem (for the Bielecki metric), in the paper it is established the existence and uniqueness of a global (continuous) solution of the mixed problem in the rectangle $\Pi=\{(x,t)\colon ...
V. M. Kyrylych, O. V. Peliushkevych
doaj   +1 more source

Coupling techniques for nonlinear hyperbolic equations. I. Self-similar diffusion for thin interfaces

, 2011
We investigate various analytical and numerical techniques for the coupling of nonlinear hyperbolic systems and, in particular, we introduce here an augmented formulation which allows for the modeling of the dynamics of interfaces between fluid flows ...
Boutin, Benjamin, Coquel, Frédéric, LeFloch, Philippe G.   +2 more
core   +3 more sources

Analytical solutions and implications for hydrodynamics and nonlinear optics

AIP Advances
This article discusses the generalization of time-fractional conformable mathematical models for studying the Estevez–Mansfield–Clarkson (EMC) equation of solutions.
Nauman Ahmed, Zunaira, Sidra Ghazanfar, Muhammad Z. Baber, Baboucarr Ceesay   +4 more
doaj   +1 more source

Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations

, 2017
The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations.
Andrieu, Vincent, Trinh, Ngoc-Tu, Xu, Cheng-Zhong   +2 more
core   +3 more sources

Nonlinear monotonization of the Babenko scheme

Mathematical Modelling and Analysis, 2003
The goal of the paper is to present and test the nonlinear monotonization of the Babenko scheme for solving 2D linear advection equation with alternating‐sign velocities.
M. P. Galanin, T. G. Yelenina
doaj   +1 more source

Three-dimensional simulation of harmonic up-conversion in a prebunched two-beam free-electron laser

Physical Review Special Topics. Accelerators and Beams, 2010
Three-dimensional simulation of harmonic up-conversion in a free-electron laser amplifier operating simultaneously with two cold and relativistic electron beams with different energy is presented in the steady-state regime.
M. H. Rouhani, B. Maraghechi
doaj   +1 more source

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
core   +2 more sources

Implicit Total Variation Diminishing (TVD) schemes for steady-state calculations [PDF]

, 1983
The application of a new implicit unconditionally stable high resolution total variation diminishing (TVD) scheme to steady state calculations. It is a member of a one parameter family of explicit and implicit second order accurate schemes developed by ...
Harten, A., Warming, R. F., Yee, H. C.
core   +2 more sources

Flux vector splitting of the inviscid equations with application to finite difference methods [PDF]

The conservation-law form of the inviscid gasdynamic equations has the remarkable property that the nonlinear flux vectors are homogeneous functions of degree one.
Steger, J. L., Warming, R. F.
core   +1 more source